On chromatic Zagreb indices of certain graphs-Reference-Cited by-同舟云学术

On chromatic Zagreb indices of certain graphs

Published:2017-02 Issue:01 Volume:09 Page:1750014
ISSN:1793-8309
Container-title:Discrete Mathematics, Algorithms and Applications
language:en
Short-container-title:Discrete Math. Algorithm. Appl.

Author:

Kok Johan¹,Sudev N. K.²,Mary U.³

Affiliation:

1. Thswane Metropolitan Police Department, City of Tshwane, South Africa

2. Centre for Studies in Discrete Mathematics, Vidya Academy of Science & Technology, Thalakkottukara, Thrissur-680501, Kerala, India

3. Nirmala College for Women, Coimbatore, Tamil Nadu, India

Abstract

Let [Formula: see text] be a finite and simple undirected connected graph of order [Formula: see text] and let [Formula: see text] be a proper vertex coloring of [Formula: see text]. Denote [Formula: see text] simply, [Formula: see text]. In this paper, we introduce a variation of the well-known Zagreb indices by utilizing the parameter [Formula: see text] instead of the invariant [Formula: see text] for all vertices of [Formula: see text]. The new indices are called chromatic Zagreb indices. We study these new indices for certain classes of graphs and introduce the notion of chromatically stable graphs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793830917500148

Reference20 articles.

1. The Zagreb coindices of graph operations

2. Graph Theory with Applications

3. Graph Classes: A Survey

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